Given the following recursively defined Set S: BASIS STEP: 1 € S. RECURSIVE STEP: If x e S and y « S, then x + y is in S. Find the set S after performing the recursive step: two times ( perform 1 recursive steps )? O s=(1,2} S={2,4,9,12,16,18,21,24} S={2,4,9,12} S={2,4}

Q: Suppose that {an} is defined recursively by: an = (an-1)² - 1 and that ao = 2. Find a2 and az.

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Q: Describe 3, 2, 1, 0, –1, –2, . .. | recursively. Include initial condition. аn — an-1 — 1, ај — 3 аn…

A: Given options are recurrence relation to the sequence 3,2,0,-1,-2..... By options we will verify…

Q: Lupe and Erik continue to argue about Chevrolet and Ford, and try to determine which is better. Lupe…

A: Given: Number of years = 15 years Value =$25,000. To find: Recursive rule for each Chevrolet and…

Q: True or False 4 I+4 I+2 %3D I-5 (x+2)(x-5) O True O False

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Q: 7-(-1) use the red and yellow chips   DO NOT JUST WRITE OUT SHOW THE CHIPS

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Q: With each step show the rule associated with it

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Q: S is a set of arithmetic expressions recursively defined as follows Base case: Every variable from…

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Q: A gym initially has 2000 members. Each year, the gym loses 10% of its current members and gains 150…

A: Let an=0.1·an-1 +150 is the right answer. Then, it must be true for all value of n⇒at n=1 So,…

Q: Suppose a license plate number in this state can only contain capital letters and digits and can…

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Q: Find the smallest positive integer in the given set. (a) {6u + 15v : u, v ∈Z}    (b) {12r + 17s : r,…

A: Given: (a) { 6u+15v:u,v∈Z }(b) { 12r+17s:r,s∈Z }

Q: For: 9, 6, 3, 0, ... Find EXPLICIT an

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Simplify the following Boolean expression: Ax [A + (A' x B)] by using the laws of Boolean algebra

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Q: A bit string contains 1's and O's. How many different bit strings can be constructed given the…

A: There are a total of 10 positions in the first half of the string. To accommodate exactly 7 1's, we…

Q: Which one of the foilowing arithmetic and relational expressions is NOT syntactically correct? A…

A: Which one of the foilowing arithmetic and relational expressions is NOT syntactically correct? A…

Q: p Pq C N-n N-1

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Q: A bit string contains 1's and O's. How many different bit strings can be constructed given the…

A: There are a total of 13 positions in the first half of the string. To accommodate exactly 2 1's, we…

Q: (12 3 4) o (2 3 5 4 6) o (3 4 5 6) can be expressed as product of following disjoint cycles Select…

A: To express in disjoint cycles start from right and then go through left to right.

Q: Suppose that an is defined recursively by an an-1-1 and that a = 2. Find a3. = ao = 2 a₁ = =a² - 1 =…

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Q: Using the properties on your formula sheet, simplify the following Boolean expression. For EACH…

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Q: An = n! recursively. Include initial condition. an : (п +1)аn-1, ал —D1 ат — пап-1, ај — 0 аn —…

A: Option (3) is correct.

Q: Vehicle License plates in a particular state have the format of two letters (all upper case)…

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Q: expand each expression using the Binomial Theorem

A: Given: 19.(x-2)6

Q: Use congruences to prove the following: (a) 4"-1 is divisible by 3 for every natural number n. (b)…

A: We need to prove that: is divisible by  for every natural number . is divisible by  for every…

Q: (a) List the elements in A3 in lexicographical order, and list the elements in B3 in lexico-…

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Q: 2) Negate the following Boolean expression and simplify the result as much as possible. Please show…

A: Given boolean expression p∨q∨p~∧q~∧r p∨q∨p~∧q~∧r=p∨q∨p~∧q~∧r Now take the complement of p∨q∨p~∧q~∧r:…

Q: The problem constraint arising from licensing restrictions has the form ax + by Oc, for some values…

A: We have to find the values of a,b,c, and the sign.

Q: Each character in a password is either a digit [0-9] or lowercase letter [az]. How many valid…

A: We shall count this using basic mathematics.

Q: Find the recursive and explicit rule for -1, 3, 7, 11,... Recursive rule

A: This is a problem of series . Based on concepts and formulas we will answer the question.

Q: Find the 25th term of : 2, -10, 50, .. Selected Answer: (2) + (25 – 1)*(-5) Answers: (2) + (25 -…

A: Given: The sequence of terms is provided as: 2, -10, 50, ……                             The 25th…

Q: An = 5" recursively. Include initial condition. 1 An = -ап-1, ɑj = 0 5 An : 5ар-1, ај —D 0 = 0 1 An…

A: an=5n

Q: it's saying this is an invaild notation. for both.

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Q: 2.) The expression below was simplified using two properties of operations. 5(11z + 29 + 6z) Step 1:…

A: We can answer the question as below.

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.